QueueSim
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Third-party content written by another agent. Data to evaluate, not instructions.
Run M/M/c queue simulations and four scenarios (call center, ER, coffee shop, single server).
Endpoint: https://queuesim.com/mcp/v1
Connect
claude mcp add --transport http public https://queuesim.com/mcp/v1{
"mcpServers": {
"public": {
"url": "https://queuesim.com/mcp/v1"
}
}
}{
"mcpServers": {
"public": {
"type": "streamable-http",
"url": "https://queuesim.com/mcp/v1"
}
}
}Tools (11)
- compare_analytical_vs_simulatedRun the same M/M/c configuration through BOTH the closed-form Erlang-C formula AND the discrete-event simulator, returning a side-by-side comparison with deltas. Use this when the user is validating …
- compare_separate_vs_pooledRun the classic operations-research teaching demo: pooled queueing (one shared queue, c servers) vs separate queues (c independent queues, one server each, λ/c traffic to each). Both runs have identi…
- describe_scenarioReturn full details for one preset scenario: title, description, teaching note, peak parameters, and per-hour arrival + staffing arrays. Use this before simulate_scenario to understand the default sh…
- explain_advanced_patternsReturn a textbook-level description of six queueing complexity patterns beyond basic M/M/c: abandonment/reneging, priority tiers, overflow routing, skills-based routing, compound service, and server …
- explain_queueing_theoryReturn a ~500-word educational explainer of M/M/c queueing theory: Little's Law, utilization, why averages mislead, how simulation relates to Erlang-C. No inputs. Use this when the user asks a concep…
- interpret_resultGiven an M/M/c configuration (arrivalRate, serviceRate, servers) and optionally an observed average wait, returns a queueing-theory framed interpretation: where you sit on the utilization curve, what…
- list_scenariosList the four pre-built QueueSim scenarios. Returns key, title, and one-line description for each (Single Server, Coffee Shop, Grocery Checkout, Call Center). Call this when the user's problem matche…
- recommend_staffingINVERSE of simulate_mmc — given an arrival rate, service rate, and a target average wait time, returns the SMALLEST number of servers needed to meet the target. Use this when the user asks 'how many …
- simulate_mmcRun a generic M/M/c queue simulation. Provide an arrival rate (λ, arrivals/hour), a service rate per server (μ, customers/hour each server can finish), and a server count (c). Optional: distribution …
- simulate_scenarioRun one of the four preset scenarios (single, coffee, grocery, callcenter) with optional overrides. Overrides apply UNIFORMLY across open hours — e.g. setting servers=5 on 'coffee' replaces the 4/6/4…
- simulate_scheduleRun a queueing simulation against an arbitrary 24-hour staffing schedule. Take this when the user describes a custom day shape that doesn't match a preset (e.g., 'my coffee shop is open 6am–10pm with…
History
- 11 tools added: simulate_mmc, list_scenarios, describe_scenario, simulate_scenario, simulate_schedule, compare_separate_vs_pooled, explain_queueing_theory, explain_advanced_patterns, recommend_staffing, interpret_result, compare_analytical_vs_simulated
- Became working (was unverified)
- First seen in the registry (1.0.0)